A regular hexagon has a perimeter of $p$ (in length units) and an area of $A$ (in square units). If $A = 3,$ then find the side length of the hexagon.
Area of a hexagon = 6 (1/2) s^2 sin (60°) where s is the side length
3 = 6 (1/2) s^2 *sqrt (3) / 2
3 = 3 s^2 * sqrt (3) / 2
s^2 = 2 / sqrt (3)
s = sqrt [ 2 / sqrt (3) ] ≈ 1.075